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1) A car manufacturer knows that the service life (in months) of the emission sensors in...

1) A car manufacturer knows that the service life (in months) of the emission sensors in its cars is normally distributed with a mean of 72 and standard deviation of 9.

    1. (5 points) What is the probability that the sensors will fail within 5 years in a randomly selected car?
    1. (12 points) What should be the warranty period of these sensors so that 1% of them fail before the warranty is over.
    1. (3 points) Suppose 3 cars are picked at random. What is the probability that emission sensors in exactly one of the three cars will fail within 5 years? Hint: Use the success probability from part (a) and then use the binomial distribution.

need help with all of them please!

Math   Statistics-And-Probability   
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